MathDB
Problems
Contests
International Contests
Tournament Of Towns
2008 Tournament Of Towns
1
2008 ToT Spring Junior O P1 equal segments , convex hexagon related
2008 ToT Spring Junior O P1 equal segments , convex hexagon related
Source:
February 26, 2020
geometry
hexagon
equal segments
Problem Statement
In the convex hexagon
A
B
C
D
E
F
,
A
B
,
B
C
ABCDEF, AB, BC
A
BC
D
EF
,
A
B
,
BC
and
C
D
CD
C
D
are respectively parallel to
D
E
,
E
F
DE, EF
D
E
,
EF
and
F
A
FA
F
A
. If
A
B
=
D
E
AB = DE
A
B
=
D
E
, prove that
B
C
=
E
F
BC = EF
BC
=
EF
and
C
D
=
F
A
CD = FA
C
D
=
F
A
.
Back to Problems
View on AoPS